Gaussian self-affinity and fractals

By Benoît B. Mandelbrot

Subjects: Multifractals, Electronic noise, Fractals

Description: "Benoit B. Mandelbrot's pioneering research in fractal geometry has deeply affected several areas of mathematics, physics, finance, and other disciplines, and has also influenced teaching.". "This book explores the fractal themes of "self-affinity" and "globality." The ubiquity of extreme temporal and spatial variability impressed itself vividly upon the author in the early 1960s. He soon concluded that many phenomena represent a new state of indeterminism he called "wild." The usual statistical techniques fail, and altogether new mathematical tools are needed to explore this subject. The book contributes to their development and will therefore be of use in diverse scientific communities."--BOOK JACKET.